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On Fully Indecomposable Quaternion Doubly Stochastic Matrices

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On Fully Indecomposable Quaternion Doubly Stochastic Matrices


Dr. Gunasekaran K. | Mrs. Seethadevi R.



Dr. Gunasekaran K. | Mrs. Seethadevi R. "On Fully Indecomposable Quaternion Doubly Stochastic Matrices" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5, August 2019, pp.476-479, URL: https://www.ijtsrd.com/papers/ijtsrd25351.pdf

In traditional years, fully indecomposable matrices have played an vital part in various research topics. For example, they have been used in establishing a necessary condition for a matrix to have a positive inverse also, in the case of simultaneously row and column scaling sub-ordinate to the unitarily invariant norms, the minimal condition number diagonalizable, sub-stochastic matrices , Kronecker products is achieved for fully indecomposable matrices. In the existence of diagonal matrices D1 and D2 , with strictly positive diagonal elements, such that D1 AD2 is quaternion doubly stochastic, is established for an nXn non-negative fully indecomposable matrix A. In a related scaling for fully indecomposable non-negative rectangular matrices is also discussed.

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IJTSRD25351
Volume-3 | Issue-5, August 2019
476-479
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

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